Question

If the relative permeability and dielectric constant of a given medium are equal to $\mu_{\mathrm{r}}$ and $\mathrm{K}$ respectively, then the refractive index of the medium is equal to (A) $\sqrt{\left(\mu_{\mathrm{T}} \mathrm{K}\right)}$ (B) $\sqrt{\left(\mu_{1} E_{0}\right)}$

Name: Problem 2120, Chapter 15: JEE Physics
Uploaded: 2021-10-01T18:13:42-08:00
Duration: 1 min 1 s
Channel: Narayan Hari
Description: If the relative permeability and dielectric constant of a given medium are equal to μr and K respectively, then the refractive index of the medium is equal to (A) √((μT K)) (B) √((μ1 E0))

   If the relative permeability and dielectric constant of a given medium are equal to $\mu_{\mathrm{r}}$ and $\mathrm{K}$ respectively, then the refractive index of the medium is equal to
(A) $\sqrt{\left(\mu_{\mathrm{T}} \mathrm{K}\right)}$
(B) $\sqrt{\left(\mu_{1} E_{0}\right)}$

JEE Physics

StemEZ 1st Edition

Chapter 15, Problem 2120

Instant Answer

Solved by Expert Narayan Hari

10/01/2021

Step 1

This can be written as: \[ n = \frac{c}{v} \] Show more…

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If the relative permeability and dielectric constant of a given medium are equal to $\mu_{\mathrm{r}}$ and $\mathrm{K}$ respectively, then the refractive index of the medium is equal to (A) $\sqrt{\left(\mu_{\mathrm{T}} \mathrm{K}\right)}$ (B) $\sqrt{\left(\mu_{1} E_{0}\right)}$

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Key Concepts

Dielectric Constant

The dielectric constant is a measure of a material's ability to store electrical energy in an electric field compared to vacuum. It indicates how an electric field affects, and is affected by, a dielectric medium and alters the speed of electromagnetic waves in that medium.

Relative Permeability

Relative permeability quantifies how a material responds to a magnetic field compared to vacuum. It represents the factor by which the magnetic field is modified within the material and plays an essential role in the propagation of electromagnetic waves.

Refractive Index

The refractive index is defined as the ratio of the speed of light in vacuum to the speed of light in the material. It is determined by the electromagnetic properties of the material, specifically the dielectric constant and the relative permeability, and is calculated as the square root of their product.

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